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Finding the Fourth Proportional to 1,023.78, 1,534.62 and 407.31

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Solution

The fourth proportional to 1,023.78, 1,534.62 and 407.31 is: 610.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.78 : 1,534.62 = 407.31 : x
  2. Step 2: Convert to fraction form
    1,023.78/1,534.62 = 407.31/x
  3. Step 3: Cross multiply
    1,023.78x = 1,534.62 × 407.31
  4. Step 4: Simplify right side
    1,023.78x = 625,066.07
  5. Step 5: Solve for x
    x = 625,066.07/1,023.78
  6. Step 6: Final answer
    x = 610.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.